Edit: As suggested by Rory Alsop in the comments, I believe this question is not a duplicate of:
I read these questions prior to asking mine, they don't seem to be talking about super chargers specifically. They do mention that performance gains are limited when considering a new exhaust but I'm specifically asking about a scenario with FI and a stock exhaust. For example, swapping out a 2" exhaust to a 3" exhaust isn't going to give you much of a HP increase, but will adding 12 psi of boost on a 2" exhaust limit the amount of HP you'll receive, because the 2" exhaust is limiting the amount the engine can work (too much back pressure).
I've tried to read up a lot on the affects of super chargers on exhausts but a lot of the information I've found has been from mismatched forums so forgive me if my info is completely off.
I know the title question highly depends on the amount of boost, size of your engine, and size of your stock exhaust. In my case my car is a 2018 Subaru BRZ but for the sake of keeping the question general I'd like to consider any generic stock exhaust for a car with about 200hp.
Essentially, I'm wondering if an exhaust is 2" and below at any point from the engine to the mufflers will this limit how much power you can get out of a super charger?
I'm under the impression that with a turbo charger this can definitely affect performance because the turbo runs off the amount of exhaust that can flow out of the car. I've also heard that "super chargers like to breath too" and that for most FI systems you'll want at least 2.5" of exhaust diameter.
Specifically in my case, I'm considering a 2.3" cat back exhaust (allegedly rated for up to 350hp), with the potential to super charge later up to ~300hp. I'm wondering whether I'll need to replace the rest of the exhaust to reach the 300 mark.